The maximal Hilbert transform along nonconvex curves
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Link
http://link.springer.com/content/pdf/10.1186/1029-242X-2012-191.pdf
Reference10 articles.
1. Bez N: L p -boundedness for the Hilbert transform and maximal operator along a class of nonconvex curves. Proc. Am. Math. Soc. 2007, 135: 151-161.
2. Carbery A, Christ M, Vance J, Wainger S, Watson D: Operators associated to flat plane curves: L p estimates via dilation methods. Duke Math. J. 1989, 59: 675-700. 10.1215/S0012-7094-89-05930-9.
3. Carbery A, Ricci F, Wright J: Maximal functions and Hilbert transforms associated to polynomials. Rev. Mat. Iberoam. 1998, 14: 117-144.
4. Carbery A, Vance J, Wainger S, Watson D: The Hilbert transform and maximal function along flat curves, dilations, and differential equations. Am. J. Math. 1994, 116: 1203-1239. 10.2307/2374944.
5. Carleson H, Christ M, Córdoba A, Duoandikoetxea J, Rubio de Francia JL, Vance J, Wainger S, Weinberg D: L p estimates for maximal functions and Hilbert transforms along flat convex curves in R 2 . Bull. Am. Math. Soc. 1986, 14: 263-267. 10.1090/S0273-0979-1986-15433-9.
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